The number 71267
71267 is a composite number with 4 divisors. Its prime factorisation is 7 × 10181. Divisors (4): 1, 7, 10181, 71267.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71267: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 10181, the product of two primes.
- 2
71267 is composite. Its prime factorisation is
- 3
The divisors add up to 81456; without 71267 itself that is 10189, so 71267 is deficient (10189 is less than 71267). Euler's totient φ(71267) = 61080 numbers up to 71267 share no factor with it.
- 4
The digits of 71267 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71267 = 7 \times 10181 \]
71267 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 81456 |
| Euler totient φ(n) | 61080 |
| Square | 5078985289 |
| Cube | 361964044591163 |
| Square root | 266.958798 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 99 |
| Scientific notation | 7.1267 × |
71267 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand two hundred and sixty-seven |
| Binary (base 2) | 10001011001100011 |
| Octal (base 8) | 213143 |
| Hexadecimal (base 16) | 11663 |
| Base 3 | 10121202112 |
| As time | 71267 seconds = 19 h 47 min 47 s |
Is 71267 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (71267 ÷ 7 = 10181) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71267 a prime number?
No. 71267 = 7 × 10181, so it is divisible by 7.
What are the factors of 71267?
1, 7, 10181, 71267.
What is 71267 in binary?
10001011001100011 (hexadecimal 11663, octal 213143).
What is the square root of 71267?
About 266.9588.
Is 71267 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 71267?
71267 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 10181, the product of two primes.